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On the initial value problem for a nonlinear Schro¨dinger equation

✍ Scribed by Guang-Chang Dong; Shujie Li


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
444 KB
Volume
42
Category
Article
ISSN
0022-0396

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The initial boundary value problem for t
✍ Leif Abrahamsson; Heinz-Otto Kreiss 📂 Article 📅 1990 🏛 John Wiley and Sons 🌐 English ⚖ 243 KB

## Abstract We study the stability properties of the one‐dimensional Schrödinger equation with boundary conditions that involve the derivative in the direction of propagation (or time). We show that this type of boundary condition might cause a strong growth of the amplitude of the solution. Such a